Factoring Linear Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions before factoring.

Front

Factor the expression: 21x - 36

Back

3(7x - 12) is the factored form.

Front

What does it mean if an expression cannot be factored?

Back

It means that there are no two or more expressions that can be multiplied together to produce the original expression.

Front

Factor the expression: 2x + 18

Back

2(x + 9) is the factored form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside parentheses.

Front

Simplify the expression: 9(-5x + 8)

Back

-45x + 72 is the simplified version.

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest exponent of the variable is one.

Front

Factor the expression: 7x - 3

Back

This expression cannot be factored.

Front

What is the result of factoring 5(a + 6)?

Back

5a + 30 is the expanded form.